Critical level spacing distribution of two-dimensional disordered systems with spin-orbit coupling

TL;DR

This paper investigates the energy level statistics of two-dimensional disordered electron systems with spin-orbit coupling at the metal-insulator transition, revealing a size-independent, Poisson-like critical level spacing distribution distinct from Gaussian predictions.

Contribution

It provides a numerical calculation of the critical level spacing distribution in 2D disordered systems with spin-orbit coupling, highlighting its unique Poisson-like decay.

Findings

Critical spacing distribution is size independent.

Distribution exhibits Poisson-like decay at large spacings.

Contrasts with Gaussian asymptotic form from random-matrix theory.

Abstract

The energy level statistics of 2D electrons with spin-orbit scattering are considered near the disorder induced metal-insulator transition. Using the Ando model, the nearest-level-spacing distribution is calculated numerically at the critical point. It is shown that the critical spacing distribution is size independent and has a Poisson-like decay at large spacings as distinct from the Gaussian asymptotic form obtained by the random-matrix theory.